networking question

Consider transmitting a packet from host A to host B via a router, as shown below:
Suppose that before sending the packet, all the ARP tables (in the two hosts and in the router) are empty. Assuming host A knows the IP address of host B, describe all the packets exchanged before sending the packet to B.
Since all the ARP tables are empty, so host A will send a packet to router to know the mac address of host B. Since the ARP table of router is also empty, so router will send a packet to host B requesting for the mac address corresponding to the IP address of host B.
Thereafter host B reply with by sending packet to the router containing its mac address.
The mac address returned by host B will be send to host A from the router.
Hence there are total 4 packets exchanged before sending the packet to B, first is ARP request packet from host A to router, then ARP request from router to host B, then reply from host B to router, then reply from router to host A. Then the packet from host A will be send to host B.
Please comment for any clarification.
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Consider three LANs interconnected by two
routers as shown in the Figure.
1. Consider sending an IP datagram from host E to Host B.
Suppose all of the ARP tables are up-t-date. Enumerate all the
steps, as done for the single router example in section 6.4.1.
2. Now repeat the previous steps assuming that the ARP table in
the sending host is empty and the other tables are up to date.
192.168.3.001 77-77-77-77-77-77H E 92.168.1.001 1 A 00-00-00-00-00-00 192.168.1.002 22-22-22-22-22-22...